diff --git a/src/components/Popover/Popover.jsx b/src/components/Popover/Popover.jsx
index 5a5940413..48af4cf0d 100644
--- a/src/components/Popover/Popover.jsx
+++ b/src/components/Popover/Popover.jsx
@@ -105,6 +105,7 @@ Popover.propTypes = {
     top: PropTypes.string,
     'transform-origin': PropTypes.string,
     translate: PropTypes.string,
+    visibility: PropTypes.string,
   }),
   /**
    * If set, the popover will become controlled, meaning it will be hidden by default and will need a trigger to open.
diff --git a/src/components/Popover/Popover.module.scss b/src/components/Popover/Popover.module.scss
index b9b554be4..2a1ef729a 100644
--- a/src/components/Popover/Popover.module.scss
+++ b/src/components/Popover/Popover.module.scss
@@ -13,6 +13,7 @@
 @layer components.popover {
     .root {
         position: absolute;
+        z-index: theme.$z-index;
         width: max-content;
         max-width: theme.$max-width;
         padding: theme.$padding;
diff --git a/src/components/Popover/README.md b/src/components/Popover/README.md
index 5f434102b..c4c7ef266 100644
--- a/src/components/Popover/README.md
+++ b/src/components/Popover/README.md
@@ -178,10 +178,15 @@ position the popover. The allowed props are:
 - `left`
 - `translate`
 - `transform-origin`
+- `visibility`
 
 ⚠️ [`inset`][mdn-inset] is a shorthand for `top right bottom left`, not for
 `inset-*` properties.
 
+ℹ️ `visibility` can be used to hide the Popover before its initial position is
+computed, preventing a flash of the Popover in a wrong position. Set it to
+`hidden` initially, then remove or update it once the position is ready.
+
 As opposed to `top right bottom left` and the `inset` shorthand, `inset-*`
 properties are writing-direction aware.
 
@@ -307,6 +312,29 @@ React.createElement(() => {
 });
 ```
 
+## z-index
+
+By default, the Popover's `z-index` is `auto`, which means it participates in
+the stacking context of its nearest positioned ancestor. This works well in most
+cases, but can cause the Popover to appear behind other positioned elements such
+as sticky headers, fixed toolbars, or modals.
+
+When that happens, set `--rui-Popover__z-index` to a numeric value high enough
+to place the Popover above the conflicting layer. The override can be applied
+globally or scoped to a specific context:
+
+```css
+/* Global override */
+:root {
+  --rui-Popover__z-index: 1000;
+}
+
+/* Scoped override */
+.my-context {
+  --rui-Popover__z-index: 1000;
+}
+```
+
 ## Controlled Popover
 
 Popover API can be used to control visibility of Popover component. You need to
@@ -379,6 +407,7 @@ which enables [Advanced Positioning](#advanced-positioning).
 | `--rui-Popover__color`                               | Text color                                                   |
 | `--rui-Popover__background-color`                    | Background color                                             |
 | `--rui-Popover__box-shadow`                          | Popover box shadow                                           |
+| `--rui-Popover__z-index`                             | Popover z-index (default: `auto`)                            |
 
 [div-attributes]: https://developer.mozilla.org/en-US/docs/Web/HTML/Element/div#attributes
 [Floating UI]: https://floating-ui.com/docs/react-dom
diff --git a/src/components/Popover/_helpers/cleanPlacementStyle.js b/src/components/Popover/_helpers/cleanPlacementStyle.js
index 123ae504c..761d20716 100644
--- a/src/components/Popover/_helpers/cleanPlacementStyle.js
+++ b/src/components/Popover/_helpers/cleanPlacementStyle.js
@@ -12,6 +12,7 @@ export default (placementStyle) => {
     'left',
     'translate',
     'transform-origin',
+    'visibility',
   ];
 
   return Object.fromEntries(
diff --git a/src/components/Popover/_theme.scss b/src/components/Popover/_theme.scss
index 59b40e545..4142f1d1b 100644
--- a/src/components/Popover/_theme.scss
+++ b/src/components/Popover/_theme.scss
@@ -2,6 +2,7 @@
 
 @use "sass:math";
 
+$z-index: var(--rui-Popover__z-index);
 $max-width: var(--rui-Popover__max-width);
 $padding: var(--rui-Popover__padding);
 $border-width: var(--rui-Popover__border-width);
diff --git a/src/theme.scss b/src/theme.scss
index 700b04954..a112ff57f 100644
--- a/src/theme.scss
+++ b/src/theme.scss
@@ -1090,6 +1090,7 @@
         --rui-Popover__color: var(--rui-color-text-primary);
         --rui-Popover__background-color: var(--rui-color-background-layer-2);
         --rui-Popover__box-shadow: var(--rui-shadow-layer-2);
+        --rui-Popover__z-index: auto;
 
         //
         // Tabs